Mathematical Sciences: Presidential Young Investigator Award

数学科学：总统青年研究员奖

• 批准号: 9157546
• 负责人: Donald Schwendeman
• 金额: $ 13.75万
• 依托单位: Rensselaer Polytechnic Institute
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-09-01 至 1998-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9157546&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Presidential; Young; Investigator

The investigator will study computational fluid dynamics problems centering on shock wave propagation and transonic flow, and also the partial differential equations that describe semiconductor devices. These equations are similar to the equations of fluid dynamics and many of the numerical techniques useful in one case carry over to the other. Numerical calculations and the development of algorithms are a major part of these studies. Computational fluid dynamics undertakes to determine numerically the solution of the differential equations that describe the motion of a fluid, particularly in cases where the solution cannot be written down explicitly. Such difficult cases are the rule for the fluid dynamics problems that arise in practice. Applications in which shocks occur are common. Transonic flow problems arise in aerospace design. In the area of semiconductors, the project work has applications in resolving several different semiconductor models and in the fabrication of semiconductors.

调查员将学习计算流体动力学 以激波传播和跨音速流为中心的问题， 以及描述 半导体器件.这些方程类似于 流体动力学方程和许多数值技术 在一种情况下有用的转移到另一种情况。数值 计算和算法的发展是一个主要部分 这些研究。 计算流体动力学致力于确定 微分方程的数值解， 描述流体的运动，特别是在 解决方案不能明确地写下来。 这么棘手的案子 是流体动力学问题的规则， 实践 发生冲击的应用是常见的。 跨音速流动问题出现在航空航天设计中。领域的 半导体，该项目的工作有应用在解决 几种不同的半导体模型，并在制造 半导体。